《ACM程序设计》书中题目P
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Description
FatMouse prepared M pounds of cat food, ready to trade with the cats guarding the warehouse containing his favorite food, JavaBean.
The warehouse has N rooms. The i-th room contains J[i] pounds of JavaBeans and requires F[i] pounds of cat food. FatMouse does not have to trade for all the JavaBeans in the room, instead, he may get J[i]* a% pounds of JavaBeans if he pays F[i]* a% pounds of cat food. Here a is a real number. Now he is assigning this homework to you: tell him the maximum amount of JavaBeans he can obtain.
Input
The input consists of multiple test cases. Each test case begins with a line containing two non-negative integers M and N. Then N lines follow, each contains two non-negative integers J[i] and F[i] respectively. The last test case is followed by two -1’s. All integers are not greater than 1000.
Output
For each test case, print in a single line a real number accurate up to 3 decimal places, which is the maximum amount of JavaBeans that FatMouse can obtain.
Sample Input
5 3
7 2
4 3
5 2
20 3
25 18
24 15
15 10
-1 -1
Sample Output
13.333
31.500
价值/代价,排序,贪心,可怜的翁恺老师。。。。
#include<bits/stdc++.h>using namespace std;struct Trade{ int j,f; double percent;}mouse[3001];bool cmp(Trade a,Trade b){ return a.percent>b.percent;}int main(){ int m,n,i,sum,ans,temp; double cnt; while(~scanf("%d%d",&m,&n)) { sum=0;ans=0;temp=0; if(m==-1&&n==-1) break; for(i=0;i<n;i++) { scanf("%d%d",&mouse[i].j,&mouse[i].f); mouse[i].percent=(double)mouse[i].j/mouse[i].f; } sort(mouse,mouse+n,cmp); for(i=0;i<n;i++) { sum+=mouse[i].f; if(sum<=m) { ans+=mouse[i].j; temp+=mouse[i].f; } else { sum=m-temp; break; } } cnt=(double)mouse[i].j*((double)sum/mouse[i].f); printf("%.3lf\n",cnt+ans); } return 0;}
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